This is an important ques from the Book ML Aggarwal class 10th,, chapter – 7, ratio and proportion.
In this question we have been given a ratio in the form of a:b and we have to find the sub-duplicate ratio of them.
ML Aggarwal, question 5
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Solution:
(i) 9: 16
We know that
Sub-duplicate ratio of 9: 16 = √9: √16 = 3: 4
(ii) ¼: 1/9
We know that
Sub-duplicate ratio of ¼: 1/9 = √1/4: √1/9
So we get
= ½: 1/3
= 3: 2
(iii) 9a2: 49b2
We know that
Sub-duplicate ratio of 9a2: 49b2 = √9a2: √49b2 = 3a: 7b